Luke first asks Lorelai out in "Last Week Fights, This Week Tights" (Season 4). They first kiss in "Raincoats and Recipes", which is the season 4 finale. They have their first date in season 5, in the episode "Written in the Stars."

Tristan (Chad Michael Murray) left in the Season 2 episode "Run Away, Little Boy" because his father was sending him to military school after he broke into a friend's father's safe. Chad Michael Murray actually left the show to appear on Dawson's Creek. He then left said show to be a regular on One Tree Hill.

Tristan and Rory never dated. He had an obvious interest in her, but she did not reciprocate his feelings. The most that ever happened between them was a kiss at a party in "The Breakup, Part 2" when both of them were emotional, Rory over her break-up with Dean, and Tristan over his break-up with his girlfriend, Summer. Rory adviced Tristan to date Paris, because she was deeply in love with this, but that didn't work out - they went on just one date. After that, he asked Rory on a date again, but realised he didn't have a chance after he saw her and Dean kissing in front of the school (Season 1).

Yes. Sherilyn Fenn played both Anna Nardini and Sasha, the live-in-girlfriend of Jess's father. She was originally supposed to star in the Jess spin-off as Sasha but when that didn't work out Amy Sherman-Palladino brought her back as Anna Nardini.

There are several other actors/actresses who are used for multiple small roles, for instance Alex Borstein (who plays both the harp player Drella in season one, and the Gilmores' quirky fashion consultant Celine).

The girl herself is not of much importance. Lorelai looks at her and sees what she could have had if she didn't have Rory, and if she had continued her schooling and gone to college. Lorelai never actually wanted to go to Harvard like Rory did, she just didn't get the chance to. In the episode "Let the Games Begin" when the four Gilmores take a road trip to Yale, Richard tells Rory that when Lorelai was ten she wanted to go to Yale like him.

Yes, the 7th season was the series finale. There were disagreements between the cast members and the network, some of which were never fully explained.

No, it is not Alexis's fault. Lauren Graham had stated in an interview that she and Alexis had very long work weeks, 6 or even 7 days at a time, and both of them emotionally exhausted. Lauren also said that although the rumored 13 episode 8th season was tempting, she felt that the fans and the show itself would be cheated.

At this point, no. Unofficial rumors were spread by gossip and TV websites that the show's creator Amy Sherman-Palladino is willing to make a movie someday because she was not happy with how the show ended. However, Lauren Graham did state that a movie is likely going to happen in the future.